(adsbygoogle = window.adsbygoogle || []).push({}); Why can't we prove euclids fifth postulate

What's wrong in this proof:

why can't we prove that there is only one line which passes through a single point which is parallel to a line.

If we can prove that two lines are parallel by proving that the alternate angles of a transverse passing through parallel side must be equal.

Then we could show that when a line throught that point behaves same then it will be parallel.

I know that euclids 5th postulate is unproveable and thus we have non-euclidean geometry, but i want to know whats wrong in my proof.

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# I Question about Euclid's parallel postulate (5th postulate).

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